37 citations · 144 across the 12 of their papers we have counts for
14 papers
Gelation in Vector Multiplicative Coalescence and Extinction in Multi-Type Poisson Branching Processes
Heshan Aravinda, Yevgeniy Kovchegov, Peter T. Otto +1
In this note, we present a novel connection between a multi-type (vector) multiplicative coalescent process and a multi-type branching process with Poisson offspring distributions.…
Multidimensional Lambert-Euler inversion and vector-multiplicative coalescent processes
Yevgeniy Kovchegov, Peter T. Otto
In this paper we show the existence of the minimal solution to the multidimensional Lambert-Euler inversion, a multidimensional generalization of branch of Lambert W…
Extension to the Beraha-Kahane-Weiss Theorem with Applications
Jason Brown, Peter T. Otto
The beautiful Beraha-Kahane-Weiss theorem has found many applications within graph theory, allowing for the determination of the limits of root of graph polynomials in settings as…
Cross-Multiplicative Coalescent Processes and Applications
Yevgeniy Kovchegov, Peter T. Otto, Anatoly Yambartsev
We introduce and analyze a novel type of coalescent processes called cross-multiplicative coalescent that models a system with two types of particles, and . The bonds are fo…
The aggregate path coupling method for the Potts model on bipartite graph
Jose C. Hernandez, Yevgeniy Kovchegov, Peter T. Otto
In this paper, we derive the large deviations principle for the Potts model on the complete bipartite graph as increases to infinity. Next, for the Potts model on $K_…
Polynomial representation for the expected length of minimal spanning trees
Jared Nishikawa, Peter T. Otto, Colin Starr
In this paper, we investigate the polynomial integrand of an integral formula that yields the expected length of the minimal spanning tree of a graph whose edges are uniformly dist…
Path Coupling and Aggregate Path Coupling
Yevgeniy Kovchegov, Peter T. Otto
In this survey paper, we describe and characterize an extension to the classical path coupling method applied statistical mechanical models, referred to as aggregate path coupling.…
Rapid Mixing of Glauber Dynamics of Gibbs Ensembles via Aggregate Path Coupling and Large Deviations Methods
Yevgeniy Kovchegov, Peter T. Otto
In this paper, we present a novel extension to the classical path coupling method to statistical mechanical models which we refer to as aggregate path coupling. In conjunction with…
Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling
Yevgeniy Kovchegov, Peter T. Otto, Mathew Titus
In this paper we investigate the relationship between the mixing times of the Glauber dynamics of a statistical mechanical system with its thermodynamic equilibrium structure. For…
Asymptotic behavior of the finite-size magnetization as a function of the speed of approach to criticality
Richard S. Ellis, Jonathan Machta, Peter Tak-Hun Otto
The main focus of this paper is to determine whether the thermodynamic magnetization is a physically relevant estimator of the finite-size magnetization. This is done by comparing…
Ginzburg-Landau Polynomials and the Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points
Richard S. Ellis, Jonathan Machta, Peter Tak-Hun Otto
For the mean-field version of an important lattice-spin model due to Blume and Capel, we prove unexpected connections among the asymptotic behavior of the magnetization, the struct…
Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point
Marius Costeniuc, Richard S. Ellis, Peter Tak-Hun Otto
We derive probabilistic limit theorems that reveal the intricate structure of the phase transitions in a mean-field version of the Blume-Emery-Griffiths model. These probabilistic…
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
Richard S. Ellis, Peter T. Otto, Hugo Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…
Analysis of phase transitions in the mean-field Blume-Emery-Griffiths model
R. S. Ellis, P. Otto, H. Touchette
In this paper we give a complete analysis of the phase transitions in the mean-field Blume-Emery-Griffiths lattice-spin model with respect to the canonical ensemble, showing both a…